The integers are 53, 55 and 57.
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There is no set of three consecutive odd or even integers whose sum is negative 31.
They are 165/3-2, 165/3 and 165/3+2 = 53, 55 and 57.
17 (odd integer) + 19 (odd integer) = 36 17 and 19 are consecutive odd integers.
If n is an odd integer then the next two consecutive odd integers are n+2 and n+4.
For any integer n, the numbers 2n + 1 and 2n + 3 are consecutive odd integers.